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Finding the Fourth Proportional to 776.88, 1,165.38 and 199.76

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Solution

The fourth proportional to 776.88, 1,165.38 and 199.76 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.88 : 1,165.38 = 199.76 : x
  2. Step 2: Convert to fraction form
    776.88/1,165.38 = 199.76/x
  3. Step 3: Cross multiply
    776.88x = 1,165.38 × 199.76
  4. Step 4: Simplify right side
    776.88x = 232,796.31
  5. Step 5: Solve for x
    x = 232,796.31/776.88
  6. Step 6: Final answer
    x = 299.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.